SCHEDULE
# | Date | Topic (references) | Materials |
---|---|---|---|
1 | 9/4 | Absolute values and discrete valuations | notes |
2 | 9/9 and 9/11 | Localization and Dedekind domains | notes |
3 | 9/16 | Properties of Dedekind domains, factorization of ideals | notes |
4 | 9/18 | Étale algebras | notes |
5 | 9/23 | Dedekind extensions | notes |
6 | 9/25 and 9/30 | Ideal norms, Dedekind-Kummer, orders, and conductors | notes |
7 | 10/2 | Galois extensions, Frobenius elements, the Artin map | notes |
8 | 10/7 | Complete fields and valuation rings | notes |
9 | 10/9 | Local fields and Hensel's lemmas | notes |